realizing the Chevalley devissage point-by-point on \(V_{\alpha }\)  (cf. [1]}). Denote the natural map \(A_{V_\alpha } \rightarrow V_\alpha \)  by \(g_\alpha \)  and let \(\delta ^{ab}_\alpha \)  denote the relative dimension of \(A_{V_\alpha }/V_\alpha \) . Let \(\Lambda _\alpha ^\bullet R^\bullet g_{\alpha *} \mathbb {Q}_{A_{V_\alpha }}\)  where \(0 \le \bullet \le \delta ^{ab}_{\alpha }.\)
